City University of Hong Kong, CityU: 111012
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National Natural Science Foundation of China, NSFC: 61433011
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funding vehicle for: Stability Analysis of Polynomially Dependent Systems by Eigenvalue Perturbation

IEEE Transactions on Automatic Control
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publication venue for: Stability Analysis of Polynomially Dependent Systems by Eigenvalue Perturbation
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Stability Analysis of Polynomially Dependent Systems by Eigenvalue Perturbation
freetext keyword: Asymptotic zero behavior; eigenvalue perturbation; matrix pencil; polynomially-dependent systems; stability Asymptotic analysis; Computational efficiency; Convergence of numerical methods; System stability; Asymptotic behaviors; Asymptotic properties; Asymptotic zero behavior; Computationally efficient; Eigenvalue perturbation; Generalized eigenvalue problems; Matrix pencil; Matrix-valued functions; Eigenvalues and eigenfunctions
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has funding vehicle: National Natural Science Foundation of China, NSFC: 61433011
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e iscopus: 2-s2.0-85036459080
issue: 11
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abstract: In this technical note we present a stability analysis approach for polynomially-dependent one-parameter systems. The approach, which appears to be conceptually appealing and computationally efficient and is referred to as an eigenvalue perturbation approach, seeks to characterize the analytical and asymptotic properties of eigenvalues of matrix-valued functions or operators. The essential problem dwells on the asymptotic behavior of the critical eigenvalues on the imaginary axis, that is, on how the imaginary eigenvalues may vary with respect to the varying parameter. This behavior determines whether the imaginary eigenvalues cross from one half plane into another, and hence plays a critical role in determining the stability of such systems. Our results reveal that the eigenvalue asymptotic behavior can be characterized by solving a simple generalized eigenvalue problem, leading to numerically efficient stability conditions. © 2012 IEEE.
crisid: 5134
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type: Article
page end: 5922
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has publication venue: IEEE Transactions on Automatic Control
related by: authorship_31164
doi: 10.1109/TAC.2016.2645758
origen: scopus
estado: published
related by: authorship_31163
has funding vehicle: City University of Hong Kong, CityU: 111012
page start: 5915
artnum: 7801025
date time value: article date 5134
has funding vehicle: F-HK006/11T
related by: authorship_31166
volume: 62
related by: authorship_31165

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date: 2026-08-27T06:29:02
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